3. Compute the leading direct and adjoint eigenmodes of the methanol base flow. Adapt the mesh to these modes, then recompute it and the global eigenvalue spectrum on the adapted mesh. With the eigenvalue convention used by `modecompute.md`, the leading mode has angular frequency approximately $\omega \approx 0.0112$ and $\omega \approx 0.0119$ for the adiabatic and isothermal cases, respectively. In the scaling of Moreno-Boza et al. (2018), these both correspond to $St = \omega/\pi \approx 3.4 \times 10^{-3}$, in agreement with their Fig 2(a).
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